19 citations · 83 across the 23 of their papers we have counts for
6 papers · 1 filter
Probabilistic representation formula for the solution of fractional high order heat-type equations
Stefano Bonaccorsi, Mirko D'Ovidio, Sonia Mazzucchi
We propose a probabilistic construction for the solution of a general class of fractional high order heat-type equations in the one-dimensional case, by using a sequence of random…
Construction of a surface integral under local Malliavin assumption and integration by parts formulae
Stefano Bonaccorsi, Giuseppe Da Prato, Luciano Tubaro
In this paper, we consider convex sets in an infinite dimensional Hilbert space, where is suitably related to a reference Gaussian measure in . We fi…
Absolute continuity of the law for solutions of stochastic differential equations with boundary noise
Stefano Bonaccorsi, Margherita Zanella
We study existence and regularity of the density for the solution (with fixed and ) of the heat equation in a bounded domain drive…
An Itô calculus for a class of limit processes arising from random walks on the complex plane
Stefano Bonaccorsi, Craig Calcaterra, Sonia Mazzucchi
Within the framework of the previous paper [8]. we develop a generalized stochastic calculus for processes associated to higher order diffusion operators. Applications to the study…
Optimal curing policy for epidemic spreading over a community network with heterogeneous population
Stefania Ottaviano, Francesco De Pellegrini, Stefano Bonaccorsi +1
The design of an efficient curing policy, able to stem an epidemic process at an affordable cost, has to account for the structure of the population contact network supporting the…
Epidemics on networks with heterogeneous population and stochastic infection rates
Stefano Bonaccorsi, Stefania Ottaviano
In this paper we study the diffusion of an SIS-type epidemics on a network under the presence of a random environment, that enters in the definition of the infection rates of the n…